Just about any bullet will work if you put it where it needs to go. Hunting or "target" bullets alike.
I like 215 Hybrids out of my .300RUM @ 3100fps too. 437 yards, 20 degrees uphill, 15 degrees F.
Bull dropped in his tracks. rolled once downhill, kicked 5 times and done. Impact was just a bit high, and bullet did not exit. Hit a rib on entering, took out both lungs, shattered a vertebrae, and stopped just under the skin on the offside. One of only 2 bullets I have ever recovered. The other was an SMK. But both animals dropped instantly too. No tracking at all.
I know it is a different bullet, but my daughter also shot a big cow elk with a 7mm 180 Hybrid @ 3000fps @ 75 yards, and bullet exited in a spectacular 3" fashion. Blood trail was excellent for the 60 yards it went.
You might look at the Barnes lines if you want an exit. 200LRX, 175 LRX, 180 TTSX, 200 TSX, etc. They have worked great for me in every rifle I have shot them out of. From .257" 100 TTSX, 6.5mm 127 LRX, .270 150 TSX FB, 7mm 140 TTSX & 168 LRX, .308" 175 LRX.
I have used the 175 LRX @ 3310fps out of the same gun with decent results. Bullet exited.
175 SMK @ 3150 worked well. DRT. Not a twitch. Bullet was just under the offside skin again.
210 HVLD @ 2960 as a reduced load killed a bull @ 250 yards with a total of 2 steps. Bullet exited from a quartering away shot.
A 127 LRX @ 3050fps out of a 6.5 SLR took a big muley this fall for my 14 year old daughter. 637 yards and dropped at the impact. Bullet broke front shoulder, took out both lungs, shattered a vertebrae, and exited the off shoulder. We couldn't find it to weigh it.
A .257" 100 TTSX @ 3580fps travelled diagonally through a muley buck @ 488 yards and exited. Buck never took a step.
Same gun with a 115 HVLD @ 3400fps had the best blood trail I have ever seen for all of 15 yards before the buck dropped.
.270 150 XFB exited from an elk @ 160 yards. Elk dropped at the shot.
7mm 168 LRX dropped a coyote @ 30 yards.
Nice Elk!